(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     13739,        493]
NotebookOptionsPosition[     10264,        387]
NotebookOutlinePosition[     12449,        444]
CellTagsIndexPosition[     12364,        439]
WindowTitle->CLCD
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"LCD\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/LCD"], "\<\"Eps\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/Eps"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FeynCalc/ref/CLCD\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/CLCD"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/CLCD.\
html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
            False]]; SelectionMove[
         DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$40716], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], "FeynCalc/ref/CLCD", 
             ".html"]], None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["CLCD", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"CLCD", "[", 
       RowBox[{"m", ",", "n", ",", "r"}], "]"}]], "InlineFormula"],
     " \[LineSeparator] evaluates to Eps[CartesianIndex[m, D-1], \
CartesianIndex[n, D-1], CartesianIndex[r,D-1]] applying FeynCalcInternal. \
CLC[m,...][p, ...] evaluates to Eps[CartesianIndex[m, D-1], ..., \
CartesianMomentum[p, D-1], ...] applying FeynCalcInternal."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->886420304],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1737148093],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"CLCD", "[", 
  RowBox[{"i", ",", "j", ",", "k"}], "]"}]], "Input",
 CellLabel->"In[1]:=",
 CellID->1128293987],

Cell[BoxData[
 FormBox[
  SuperscriptBox[
   OverscriptBox["\[Epsilon]", ""], 
   RowBox[{
    FormBox[
     FormBox[
      StyleBox["i",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm], 
    FormBox[
     FormBox[
      StyleBox["j",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm], 
    FormBox[
     FormBox[
      StyleBox["k",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm]}]], TraditionalForm]], "Output",
 ImageSize->{45, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[1]=",
 CellID->1338362699]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]], "Input",
 CellLabel->"In[2]:=",
 CellID->2002117803],

Cell[BoxData[
 RowBox[{"Eps", "[", 
  RowBox[{
   RowBox[{"CartesianIndex", "[", 
    RowBox[{"i", ",", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "D"}]}], "]"}], ",", 
   RowBox[{"CartesianIndex", "[", 
    RowBox[{"j", ",", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "D"}]}], "]"}], ",", 
   RowBox[{"CartesianIndex", "[", 
    RowBox[{"k", ",", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "D"}]}], "]"}]}], "]"}]], "Output",
 ImageSize->{421, 33},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[2]//StandardForm=",
 CellID->297611011]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"CLCD", "[", 
   RowBox[{"i", ",", "j"}], "]"}], "[", "p", "]"}]], "Input",
 CellLabel->"In[3]:=",
 CellID->1171293590],

Cell[BoxData[
 FormBox[
  SuperscriptBox[
   OverscriptBox["\[Epsilon]", ""], 
   RowBox[{
    FormBox[
     FormBox[
      StyleBox["i",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm], 
    FormBox[
     FormBox[
      StyleBox["j",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm], 
    FormBox[
     FormBox[
      StyleBox["p",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm]}]], TraditionalForm]], "Output",
 ImageSize->{45, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[3]=",
 CellID->315491501]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]], "Input",
 CellLabel->"In[4]:=",
 CellID->1182317939],

Cell[BoxData[
 RowBox[{"Eps", "[", 
  RowBox[{
   RowBox[{"CartesianIndex", "[", 
    RowBox[{"i", ",", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "D"}]}], "]"}], ",", 
   RowBox[{"CartesianIndex", "[", 
    RowBox[{"j", ",", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "D"}]}], "]"}], ",", 
   RowBox[{"CartesianMomentum", "[", 
    RowBox[{"p", ",", 
     RowBox[{
      RowBox[{"-", "1"}], "+", "D"}]}], "]"}]}], "]"}]], "Output",
 ImageSize->{445, 33},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[4]//StandardForm=",
 CellID->1130462414]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{"CLCD", "[", 
      RowBox[{"i", ",", "j"}], "]"}], "[", "p", "]"}], 
    RowBox[{
     RowBox[{"CLCD", "[", 
      RowBox[{"i", ",", "j"}], "]"}], "[", "q", "]"}]}], "//", "Contract"}], "//",
   "Factor2"}]], "Input",
 CellLabel->"In[5]:=",
 CellID->260548459],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"(", 
    RowBox[{"2", "-", "D"}], ")"}], " ", 
   RowBox[{"(", 
    RowBox[{"3", "-", "D"}], ")"}], " ", 
   RowBox[{"(", 
    RowBox[{
     FormBox[
      FormBox[
       StyleBox["p",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm],
      TraditionalForm], 
     FormBox["\<\"\[CenterDot]\"\>",
      TraditionalForm], 
     FormBox[
      FormBox[
       StyleBox["q",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm],
      TraditionalForm]}], ")"}]}], TraditionalForm]], "Output",
 ImageSize->{162, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[5]=",
 CellID->235673394]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["LCD",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/LCD",
  ButtonNote->"LCD"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["Eps",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/Eps",
  ButtonNote->"Eps"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso",
 CellID->119070656]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"CLCD",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 2, 58.747500}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "CLCD[m, n, r] evaluates to Eps[CartesianIndex[m, D-1], CartesianIndex[n, \
D-1], CartesianIndex[r,D-1]] applying FeynCalcInternal. CLC[m,...][p, ...] \
evaluates to Eps[CartesianIndex[m, D-1], ..., CartesianMomentum[p, D-1], ...] \
applying FeynCalcInternal.", "synonyms" -> {}, "tabletags" -> {}, "title" -> 
    "CLCD", "titlemodifier" -> "", "windowtitle" -> "CLCD", "type" -> 
    "Symbol", "uri" -> "FeynCalc/ref/CLCD"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[4552, 130, 387, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->886420304]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 12221, 432}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[576, 21, 3051, 75, 53, "AnchorBarGrid",
 CellID->1],
Cell[3630, 98, 281, 11, 45, "ObjectNameGrid"],
Cell[3914, 111, 613, 15, 119, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[4552, 130, 387, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->886420304],
Cell[CellGroupData[{
Cell[4964, 149, 196, 6, 26, "ExampleSection",
 CellID->1737148093],
Cell[CellGroupData[{
Cell[5185, 159, 134, 4, 27, "Input",
 CellID->1128293987],
Cell[5322, 165, 699, 30, 39, "Output",
 CellID->1338362699]
}, Open  ]],
Cell[CellGroupData[{
Cell[6058, 200, 131, 4, 27, "Input",
 CellID->2002117803],
Cell[6192, 206, 580, 19, 69, "Output",
 CellID->297611011]
}, Open  ]],
Cell[CellGroupData[{
Cell[6809, 230, 153, 5, 27, "Input",
 CellID->1171293590],
Cell[6965, 237, 698, 30, 38, "Output",
 CellID->315491501]
}, Open  ]],
Cell[CellGroupData[{
Cell[7700, 272, 131, 4, 27, "Input",
 CellID->1182317939],
Cell[7834, 278, 584, 19, 69, "Output",
 CellID->1130462414]
}, Open  ]],
Cell[CellGroupData[{
Cell[8455, 302, 334, 12, 27, "Input",
 CellID->260548459],
Cell[8792, 316, 726, 29, 37, "Output",
 CellID->235673394]
}, Open  ]]
}, Open  ]],
Cell[9545, 349, 31, 0, 70, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[9613, 354, 270, 12, 70, "SeeAlsoSection",
 CellID->1255426704],
Cell[9886, 368, 336, 14, 70, "SeeAlso",
 CellID->119070656]
}, Open  ]],
Cell[10237, 385, 23, 0, 70, "FooterCell"]
}
]
*)

(* End of internal cache information *)

